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Finding the Fourth Proportional to 492,818.90, 739,539.27 and 193,291.47

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Solution

The fourth proportional to 492,818.90, 739,539.27 and 193,291.47 is: 290,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,818.90 : 739,539.27 = 193,291.47 : x
  2. Step 2: Convert to fraction form
    492,818.90/739,539.27 = 193,291.47/x
  3. Step 3: Cross multiply
    492,818.90x = 739,539.27 × 193,291.47
  4. Step 4: Simplify right side
    492,818.90x = 142,946,632,621.03
  5. Step 5: Solve for x
    x = 142,946,632,621.03/492,818.90
  6. Step 6: Final answer
    x = 290,059.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.